An improved Robust Stability Criteria of Neutral Lur'e Systems with Time-Varying Delay via Nonlinearity Decomposition Approach

Abstract

This paper considers the robust absolute stability for uncertain mixed neutral and Lur'e systems with time-varying delay and sector-bounded nonlinear. A novel nonlinearity decomposition approach is proposed. By constructing a suitable augmented L-K functional, and combining nonlinearity decomposition approach, Writing-integral inequality and reciprocally convex approach, the new delay-dependent robust stability criteria for uncertainly neutral Lur'e systems are derived in the form of linear matrix inequalities (LMIs). Two numerical examples are presented to show that effectiveness and less conservatism of proposed methods and can improve the existing methods.